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Finding the Fourth Proportional to 577.84, 797.35 and 412.40

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Solution

The fourth proportional to 577.84, 797.35 and 412.40 is: 569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 797.35 = 412.40 : x
  2. Step 2: Convert to fraction form
    577.84/797.35 = 412.40/x
  3. Step 3: Cross multiply
    577.84x = 797.35 × 412.40
  4. Step 4: Simplify right side
    577.84x = 328,821.09
  5. Step 5: Solve for x
    x = 328,821.09/577.84
  6. Step 6: Final answer
    x = 569.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.